Originally posted by sridhar_n However the statement is Equivalent....

equivalent to whatm (also note that the wavefunction of an electron is not the same thing as the electron)? Basically: firstly you need to define the parameters of membership for the set of all particles and the set of all waves; depending on how you define these sets you might find that the electron is an element in both, one or neither. If you decide to define them as mutually exclusive yet you find that the elctron should be a member of both, there is a flaw in your defintion, not in logic.